Stabilizability and Disturbance Rejection with State-Derivative Feedback

In some practical problems, for instance in the control of mechanical systems using accelerometers as sensors, it is easier to obtain the state-derivative signals than the state signals. This paper shows that (i) linear time-invariant plants given by the state-space model matrices {A,B,C,D} with out...

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Main Authors:	Manoel R. Moreira, Edson I. Mainardi Júnior, Talita T. Esteves, Marcelo C. M. Teixeira, Rodrigo Cardim, Edvaldo Assunção, Flávio A. Faria
Format:	Article
Language:	English
Published:	Hindawi Limited 2010-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2010/123751

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spelling	doaj-62f2610348c047939ef3bf835e9634902020-11-24T22:59:52ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472010-01-01201010.1155/2010/123751123751Stabilizability and Disturbance Rejection with State-Derivative FeedbackManoel R. Moreira0Edson I. Mainardi Júnior1Talita T. Esteves2Marcelo C. M. Teixeira3Rodrigo Cardim4Edvaldo Assunção5Flávio A. Faria6Departamento de Engenharia Elétrica, Faculdade de Engenharia de Ilha Solteira, Universidade Estadual Paulista (UNESP), 15385-000 Ilha Solteira, SP, BrazilDepartamento de Engenharia Elétrica, Faculdade de Engenharia de Ilha Solteira, Universidade Estadual Paulista (UNESP), 15385-000 Ilha Solteira, SP, BrazilDepartamento de Engenharia Elétrica, Faculdade de Engenharia de Ilha Solteira, Universidade Estadual Paulista (UNESP), 15385-000 Ilha Solteira, SP, BrazilDepartamento de Engenharia Elétrica, Faculdade de Engenharia de Ilha Solteira, Universidade Estadual Paulista (UNESP), 15385-000 Ilha Solteira, SP, BrazilDepartamento de Engenharia Elétrica, Faculdade de Engenharia de Ilha Solteira, Universidade Estadual Paulista (UNESP), 15385-000 Ilha Solteira, SP, BrazilDepartamento de Engenharia Elétrica, Faculdade de Engenharia de Ilha Solteira, Universidade Estadual Paulista (UNESP), 15385-000 Ilha Solteira, SP, BrazilDepartamento de Engenharia Elétrica, Faculdade de Engenharia de Ilha Solteira, Universidade Estadual Paulista (UNESP), 15385-000 Ilha Solteira, SP, BrazilIn some practical problems, for instance in the control of mechanical systems using accelerometers as sensors, it is easier to obtain the state-derivative signals than the state signals. This paper shows that (i) linear time-invariant plants given by the state-space model matrices {A,B,C,D} with output equal to the state-derivative vector are not observable and can not be stabilizable by using an output feedback if det⁡(A)=0 and (ii) the rejection of a constant disturbance added to the input of the aforementioned plants, considering det⁡(A)≠0, and a static output feedback controller is not possible. The proposed results can be useful in the analysis and design of control systems with state-derivative feedback.http://dx.doi.org/10.1155/2010/123751
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Manoel R. Moreira Edson I. Mainardi Júnior Talita T. Esteves Marcelo C. M. Teixeira Rodrigo Cardim Edvaldo Assunção Flávio A. Faria
spellingShingle	Manoel R. Moreira Edson I. Mainardi Júnior Talita T. Esteves Marcelo C. M. Teixeira Rodrigo Cardim Edvaldo Assunção Flávio A. Faria Stabilizability and Disturbance Rejection with State-Derivative Feedback Mathematical Problems in Engineering
author_facet	Manoel R. Moreira Edson I. Mainardi Júnior Talita T. Esteves Marcelo C. M. Teixeira Rodrigo Cardim Edvaldo Assunção Flávio A. Faria
author_sort	Manoel R. Moreira
title	Stabilizability and Disturbance Rejection with State-Derivative Feedback
title_short	Stabilizability and Disturbance Rejection with State-Derivative Feedback
title_full	Stabilizability and Disturbance Rejection with State-Derivative Feedback
title_fullStr	Stabilizability and Disturbance Rejection with State-Derivative Feedback
title_full_unstemmed	Stabilizability and Disturbance Rejection with State-Derivative Feedback
title_sort	stabilizability and disturbance rejection with state-derivative feedback
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2010-01-01
description	In some practical problems, for instance in the control of mechanical systems using accelerometers as sensors, it is easier to obtain the state-derivative signals than the state signals. This paper shows that (i) linear time-invariant plants given by the state-space model matrices {A,B,C,D} with output equal to the state-derivative vector are not observable and can not be stabilizable by using an output feedback if det⁡(A)=0 and (ii) the rejection of a constant disturbance added to the input of the aforementioned plants, considering det⁡(A)≠0, and a static output feedback controller is not possible. The proposed results can be useful in the analysis and design of control systems with state-derivative feedback.
url	http://dx.doi.org/10.1155/2010/123751
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Stabilizability and Disturbance Rejection with State-Derivative Feedback

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